Use Substitution to Find the Taylor Series at X = $\ln \left( 1 + x ^ { 2 } \right)$

question 387

Multiple Choice

Use substitution to find the Taylor series at x = 0 of the given function.
- $\ln \left( 1 + x ^ { 2 } \right)$

• A) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } x ^ { 2 n } } { ( 2 n ) ! }\)
• B) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 2 n } } { n }\)
• C) \(\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } x ^ { 2 n }\)
• D) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } x ^ { 2 n } } { n }\)

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